Representations of Yangians associated with skew Young diagrams

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dc.creatorNazarov, Maxim
dc.date2002-09-11
dc.date.accessioned2026-07-07T04:50:46Z
dc.date.available2026-07-07T04:50:46Z
dc.descriptionThe Yangian of the Lie algebra $gl_N$ has a distinguished family of irreducible finite-dimensional representations, called elementary representations. They are parametrized by pairs, consisting of a skew Young diagram and a complex number. Each of these representations has an explicit realization, it extends the classical realization of the irreducible polynomial representations of $gl_N$ by means of the Young symmetrizers. We explicitly construct analogues of these elementary representations for the twisted Yangian, which corresponds to the Lie algebra $so_N$. Our construction provides solutions to several open problems in the classical representation theory. In particular, we obtain analogues of the Young symmetrizers for the Brauer centralizer algebra.
dc.description12 pages
dc.identifierhttps://arxiv.org/abs/math/0209129
dc.identifierhttp://arxiv.org/abs/math/0209129
dc.identifierProceedings of the ICM, Beijing 2002, vol. 2, 643--654
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/64914
dc.subjectRepresentation Theory
dc.subjectCombinatorics
dc.subjectQuantum Algebra
dc.subject17B35; 17B37; 20C30; 22E46
dc.titleRepresentations of Yangians associated with skew Young diagrams
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